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Finding the Fourth Proportional to 36,061.80, 54,092.72 and 9,766.56

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Solution

The fourth proportional to 36,061.80, 54,092.72 and 9,766.56 is: 14,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,061.80 : 54,092.72 = 9,766.56 : x
  2. Step 2: Convert to fraction form
    36,061.80/54,092.72 = 9,766.56/x
  3. Step 3: Cross multiply
    36,061.80x = 54,092.72 × 9,766.56
  4. Step 4: Simplify right side
    36,061.80x = 528,299,746.61
  5. Step 5: Solve for x
    x = 528,299,746.61/36,061.80
  6. Step 6: Final answer
    x = 14,649.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.